Topology Seminar: Prof. Masao Hara

  • Date: 10/05/2011
  • Time: 15:00
Prof. Masao Hara

University of British Columbia


minimal crossing diagram and Jones polynomial




It seemed quite difficult to determined crossing number of
a link until Jones discovered a new polynomial invariant. Important
results about crossing number of a link were shown after Kauffman gave a
method for calculating Jones polynomial.

I will survey the relation between the reduced degree of Jones
polynomial of a link and its crossing number and discuss Jones
polynomial of a pretzel link. I will introduce an adequate diagram and
discuss minimality of a diagram from the viewpoint of it. I will discuss
the difference between the reduced degrees of Jones polynomials of
pretzel links and their crossing numbers, and whether Jones polynomial
is a complete invariant on alternating pretzel knots. 

Other Information: 

For more information please visit UBC Mathematics Department